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Difference between revisions of "Science/Memorandum Series"
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From M.Eng. René Schwarz, Bremen/Merseburg
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| + | The Memorandum Series is a compilation of handouts that I have prepared mainly as reminder (hence the name “Memorandum”) for various topics I deal with. They are also intended as teaching materials; as such, many of them contain supplemental files, e.g. software implementations of the algorithms and theory presented therein. | ||
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| + | If you have any feedback, comments, error reports, ideas and enhancement requests regarding the Memorandum Series, do not hesitate to use my [https://bugs.rene-schwarz.com/Memorandum_Series/issues/new bug tracker]. | ||
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{{UI Accordion | {{UI Accordion | ||
| '''M001: Keplerian Orbit Elements to Cartesian State Vectors''' | | '''M001: Keplerian Orbit Elements to Cartesian State Vectors''' | ||
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Kepler, Orbit, Elements, Cartesian, State, Vector, Rotation, Matrix | Kepler, Orbit, Elements, Cartesian, State, Vector, Rotation, Matrix | ||
<hr /> | <hr /> | ||
| − | ''' | + | '''Downloads''': |
| + | * [http://downloads.rene-schwarz.com/download/M001-Keplerian_Orbit_Elements_to_Cartesian_State_Vectors.pdf Memorandum] | ||
| + | * [http://downloads.rene-schwarz.com/dc/category/19 Supplemental Files (if any)] | ||
| '''M002: Cartesian State Vectors to Keplerian Orbit Elements''' | | '''M002: Cartesian State Vectors to Keplerian Orbit Elements''' | ||
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Kepler, Orbit, Elements, Cartesian, State, Vector | Kepler, Orbit, Elements, Cartesian, State, Vector | ||
<hr /> | <hr /> | ||
| − | ''' | + | '''Downloads''': |
| + | * [http://downloads.rene-schwarz.com/download/M002-Cartesian_State_Vectors_to_Keplerian_Orbit_Elements.pdf Memorandum] | ||
| + | * [http://downloads.rene-schwarz.com/dc/category/20 Supplemental Files (if any)] | ||
| '''M003: Trigonometric Functions''' | | '''M003: Trigonometric Functions''' | ||
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trigonometric, functions, sine, cosine, tangent, secant, cosecant, versin, vercosin, coversin, covercosin, haversin, havercosin, hacoversin, hacovercosin, exsec, excsc, crd, sinc, cis, inverse, complex, exponential, power, series, expansion, euler, identity, pythagorean | trigonometric, functions, sine, cosine, tangent, secant, cosecant, versin, vercosin, coversin, covercosin, haversin, havercosin, hacoversin, hacovercosin, exsec, excsc, crd, sinc, cis, inverse, complex, exponential, power, series, expansion, euler, identity, pythagorean | ||
<hr /> | <hr /> | ||
| − | ''' | + | '''Downloads''': |
| + | * [http://downloads.rene-schwarz.com/download/M003-Trigonometric_Functions.pdf Memorandum] | ||
| + | * [http://downloads.rene-schwarz.com/dc/category/21 Supplemental Files (if any)] | ||
| '''M005: Astrodynamical Constants''' | | '''M005: Astrodynamical Constants''' | ||
| | | | ||
A listing of commonly used constants in astrodynamics as well as in space science and engineering with their latest values according to recent publications. This Memorandum is going to be updated with new constants from time to time. | A listing of commonly used constants in astrodynamics as well as in space science and engineering with their latest values according to recent publications. This Memorandum is going to be updated with new constants from time to time. | ||
<hr /> | <hr /> | ||
| − | ''' | + | '''Downloads''': |
| + | * [http://downloads.rene-schwarz.com/download/M005_-_Astrodynamical_Constants.pdf Memorandum] | ||
| + | * [http://downloads.rene-schwarz.com/dc/category/22 Supplemental Files (if any)] | ||
}} | }} | ||
Revision as of 12:12, 24 July 2013
The Memorandum Series is a compilation of handouts that I have prepared mainly as reminder (hence the name “Memorandum”) for various topics I deal with. They are also intended as teaching materials; as such, many of them contain supplemental files, e.g. software implementations of the algorithms and theory presented therein.
If you have any feedback, comments, error reports, ideas and enhancement requests regarding the Memorandum Series, do not hesitate to use my bug tracker.
M001: Keplerian Orbit Elements to Cartesian State Vectors
This Memorandum contains an algorithm for converting a traditional set of Keplerian Orbit Elements (semi-major axis, eccentricity, argument of periapsis, longitude of ascending node, inclination, and mean anomaly) to cartesian state vectors (position and velocity vector).
Keywords:
Kepler, Orbit, Elements, Cartesian, State, Vector, Rotation, Matrix
Downloads:
M002: Cartesian State Vectors to Keplerian Orbit Elements
This Memorandum contains an algorithm for converting cartesian state vectors (position and velocity vector) to a traditional set of Keplerian Orbit Elements (semi-major axis, eccentricity, argument of periapsis, longitude of ascending node, inclination, and mean anomaly).
Keywords:
Kepler, Orbit, Elements, Cartesian, State, Vector
Downloads:
M003: Trigonometric Functions
A formulary of trigonometric functions, providing the following sections:
- Trigonometric functions and their definitions
- Shorthands
- Important values of the basic trigonometric functions
- Pythagorean and related trigonometric identities
- Symmetry, shifts and periodicity
- Addition theorems, sum and difference identities of two functions
- Products of two functions
- Power reduction formula
- Multiple-angle formulæ
- Half-angle formulæ
- Inverse trigonometric functions
- Definition of the inverse trigonometric functions
- Relationships between trigonometric functions and inverse trigonometric functions
- Relationships among the inverse trigonometric functions
- Power series expansions, infinite product formulæ
- Relationship to the complex exponential function
Keywords:
trigonometric, functions, sine, cosine, tangent, secant, cosecant, versin, vercosin, coversin, covercosin, haversin, havercosin, hacoversin, hacovercosin, exsec, excsc, crd, sinc, cis, inverse, complex, exponential, power, series, expansion, euler, identity, pythagorean
Downloads:
M005: Astrodynamical Constants
A listing of commonly used constants in astrodynamics as well as in space science and engineering with their latest values according to recent publications. This Memorandum is going to be updated with new constants from time to time.
Downloads:
